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Finding the Fourth Proportional to 415,522, 573,322.68 and 252,174.88

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Solution

The fourth proportional to 415,522, 573,322.68 and 252,174.88 is: 347,942.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,522 : 573,322.68 = 252,174.88 : x
  2. Step 2: Convert to fraction form
    415,522/573,322.68 = 252,174.88/x
  3. Step 3: Cross multiply
    415,522x = 573,322.68 × 252,174.88
  4. Step 4: Simplify right side
    415,522x = 144,577,578,030.28
  5. Step 5: Solve for x
    x = 144,577,578,030.28/415,522
  6. Step 6: Final answer
    x = 347,942.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.